Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
651d |
Isogeny class |
Conductor |
651 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
308950929 = 38 · 72 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-209,-816] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:19:1] |
Generators of the group modulo torsion |
j |
1009932705937/308950929 |
j-invariant |
L |
1.5714303035313 |
L(r)(E,1)/r! |
Ω |
1.2854998192139 |
Real period |
R |
0.61121373960683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10416u2 41664s2 1953d2 16275a2 |
Quadratic twists by: -4 8 -3 5 |